
\begin{tikzpicture}[scale=1.2]
  \coordinate[label=below:$B$] (B) at (0,0);
  \coordinate[label=below:$C$] (C) at (2,0);
  \coordinate[label=above:$A$] (A) at (1,3);
  \coordinate[label=right:$B'$] (B') at ($ (C)!1! -60:(A) $);
  \path[name path=BD] (B) -- ($ (B)!1! -60:(A) $);
  \path[name path=CD] (C) -- (B');
  \path[name intersections={of=BD and CD}]
    coordinate[label=right:$D$] (D) at (intersection-1);
  \pic[mark angle={green}{5mm}{1}, "$60^\circ$"] {angle=D--B--A};
  \pic[mark angle={green}{5mm}{1}, "$60^\circ$"] {angle=A--B'--C};
  \draw (A) -- (B) -- (C) -- (D) -- cycle (B) -- (D) (A) -- (C);
  \draw[blue] (B) -- (A) (A) -- (C) (C) -- (D);
  \draw[blue, dashed] (A) -- (B') -- (D);
  \fill[opafill=red] (A) -- (B) -- (D) -- (B') -- cycle;
  \fill[opafill=blue] (A) -- (B') -- (C) -- cycle;
\end{tikzpicture}
